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具有非凸约束的航天器姿态机动预测控制
引用本文:程小军,崔祜涛,崔平远,徐瑞.具有非凸约束的航天器姿态机动预测控制[J].宇航学报,2011,32(5).
作者姓名:程小军  崔祜涛  崔平远  徐瑞
作者单位:1. 哈尔滨工业大学深空探测基础研究中心,哈尔滨,150001
2. 北京理工大学宇航学院,北京,100081
摘    要:针对航天器带有非凸几何约束以及输入有界的问题,提出了一种姿态机动预测控制算法.分析了姿态机动所受到的几何约束,并对非凸二次形式约束及其Hesse矩阵进行研究,证明了该约束的非凸性.通过对正定Hesse矩阵的构造,给出非凸约束凸化映射关系.最后给出姿态机动预测控制律,解决了由于姿态机动过程中非凸约束造成的全局解收敛困难以及路径安全性问题.数值仿真结果显示该算法不仅能在大范围内得到优化姿态路径,同时满足所有约束.

关 键 词:航天器姿态机动  预测控制  非凸约束  凸规划

A Predictive Control Algorithm for Spacecraft Attitude Maneuver with Nonconvex Geometric Constraint
CHENG Xiao-jun,CUI Hu-tao,CUI Ping-yuan,XU Rui.A Predictive Control Algorithm for Spacecraft Attitude Maneuver with Nonconvex Geometric Constraint[J].Journal of Astronautics,2011,32(5).
Authors:CHENG Xiao-jun  CUI Hu-tao  CUI Ping-yuan  XU Rui
Institution:CHENG Xiao-jun1,CUI Hu-tao1,CUI Ping-yuan2,XU Rui2 (1.Deep Space Exploration Research Center,Harbin Institute of Technology,Harbin 150001,China,2.School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China)
Abstract:A predictive control algorithm is presented in this paper for spacecraft attitude maneuver with nonconvex geometric constraint and bounded inputs.The nonconvex property of the geometric constraint is proved based on the analysis of its Hessian matrix.Then the transformation from nonconvex constraint to convex one is presented by constructing positive definite Hessian matrix.Consequently,a predictive control algorithm for spacecraft attitude maneuver is presented,and it can readily obtain global solution,as ...
Keywords:Spacecraft attitude maneuver  Predictive control  Nonconvex constraint  Convex planning  
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